The value of at the middle of the strip can he deduced from
equation 84 by substituting N for X/B, and assuming that Y/B = 1.25,
we get:
2 -y 4
jU^H = (1 ** 35 -1 * 2 5 n +0.375n 2 -0.625n3+o.o15625N 1 *). (85)
at the end of the strip (N bridged models) will then be given as
(h.35 -1.25N +0.375n 2 -0.0625n3+0.015625n 1 *)=, i 86 )
In other words, the maximum expected mean square value of the residual
errors in elevation at the end of the bridged distance could be given
by:
/^ H = Z ^° f Z ~(h.35 -1.25N ^0.375N 2 -0.0625n3+0.015625N^)^. (87)
Efforts have been made to simplify equation (87), and it was
found that:
1. for the cases where the number of bridged models is FIVE or less,
(lj.528 -l.llliN +0.288N 2 ). (88)
2. for the cases where the number of bridged models is SIX OR MORE,
M- H (2*3oU -0.506N +0.250N 2 ).
^aH
(89)